不可分稳态大系统的递阶优化控制算法

Hierarchical Optimizing Control of NonseparableSteady State for Large Scale Systems

讨论了整体目标函数关于各子系统不具有可加形式的大规模稳态系统的优化问题．提出了一种３级递阶优化算法．该算法首先把不可分问题转化为可分的多目标优化问题，再从多目标优化的非劣解集中挑出原问题的最优解，建立了算法的理论基础，证明了算法的收敛性．仿真结果表明，算法是有效的．

Considered is the nonseparable steady state problem for largescale systems, where the overall objective function is not of an additive form with respect to subsystems. A threelevel hierarchical optimization algorithm is proposed. It first converts the nonseparable problem into separable multiobjective optimization problem. The optimal solution of the original problem is then selected from the set of noninferior solutions of multiobjective optimization problem. Theoretical base of the algorithm is established. Simulation shows that the algorithm is effective.